Move object to mouse position using python?
Can do this using bpy.extras.region_2d_to_location_3d
Here is a sample script using the Modal Draw Template script. As well as drawing a line, it moves the context object to the mouse cursor.  The depth is set to (0, 0, 0)
import bpy
import bgl
import blf
import gpu
from gpu_extras.batch import batch_for_shader
from bpy_extras.view3d_utils import region_2d_to_location_3d

def draw_callback_px(self, context):
    print(&quot;mouse points&quot;, len(self.mouse_path))

    font_id = 0  # XXX, need to find out how best to get this.

    # draw some text
    blf.position(font_id, 15, 30, 0)
    blf.size(font_id, 20, 72)
    blf.draw(font_id, &quot;Hello Word &quot; + str(len(self.mouse_path)))

    # 50% alpha, 2 pixel width line
    shader = gpu.shader.from_builtin('2D_UNIFORM_COLOR')
    bgl.glEnable(bgl.GL_BLEND)
    bgl.glLineWidth(2)
    batch = batch_for_shader(shader, 'LINE_STRIP', {&quot;pos&quot;: self.mouse_path})
    shader.bind()
    shader.uniform_float(&quot;color&quot;, (0.0, 0.0, 0.0, 0.5))
    batch.draw(shader)

    # restore opengl defaults
    bgl.glLineWidth(1)
    bgl.glDisable(bgl.GL_BLEND)


class ModalDrawOperator(bpy.types.Operator):
    &quot;&quot;&quot;Draw a line with the mouse&quot;&quot;&quot;
    bl_idname = &quot;view3d.modal_operator&quot;
    bl_label = &quot;Simple Modal View3D Operator&quot;

    def modal(self, context, event):
        context.area.tag_redraw()


        if event.type == 'MOUSEMOVE':
            x, y = event.mouse_region_x, event.mouse_region_y
            self.mouse_path.append((x, y))
            obj = context.object
            if obj:
                loc = region_2d_to_location_3d(context.region, context.space_data.region_3d, (x, y), (0, 0, 0))
                obj.location = loc

        elif event.type == 'LEFTMOUSE':
            bpy.types.SpaceView3D.draw_handler_remove(self._handle, 'WINDOW')
            return {'FINISHED'}

        elif event.type in {'RIGHTMOUSE', 'ESC'}:
            bpy.types.SpaceView3D.draw_handler_remove(self._handle, 'WINDOW')
            return {'CANCELLED'}

        return {'RUNNING_MODAL'}

    def invoke(self, context, event):
        if context.area.type == 'VIEW_3D':
            # the arguments we pass the the callback
            args = (self, context)
            # Add the region OpenGL drawing callback
            # draw in view space with 'POST_VIEW' and 'PRE_VIEW'
            self._handle = bpy.types.SpaceView3D.draw_handler_add(draw_callback_px, args, 'WINDOW', 'POST_PIXEL')

            self.mouse_path = []

            context.window_manager.modal_handler_add(self)
            return {'RUNNING_MODAL'}
        else:
            self.report({'WARNING'}, &quot;View3D not found, cannot run operator&quot;)
            return {'CANCELLED'}


def register():
    bpy.utils.register_class(ModalDrawOperator)


def unregister():
    bpy.utils.unregister_class(ModalDrawOperator)

if __name__ == &quot;__main__&quot;:
    register()